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3 years ago

X2 + (y - 1) 2 = 4 .............................

Mathematics

2 answers:

svlad2 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

x²+(y-1)²=4

x²+y²+1-2y=4

x²+y²-2y=3

Jobisdone [24]3 years ago

5 0

Answer:

$x=\pm \sqrt{6-2y}$

$y=\frac{1}{2} (6-x^2)$

Step-by-step explanation:

$x^2+(y-1)\cdot 2 =4$

$x^2+2y-2 =4$

$x^2+2y =6$

I will solve it for $x$

$x^2 =6-2y$

$x=\pm \sqrt{6-2y}$

Solving for $y$

$y=3-\frac{x^2}{2}$

$y=\frac{1}{2} (6-x^2)$

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IF P(A)=1/3, P(B)=2/5, and P(AuB)=3/5, what is P(A^B)?

Bumek [7]

The probability of the union of two events is the sum of their probability, minus the probability of their interserction:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

If we plug the known values into this formula, we have

$\dfrac{3}{5} = \dfrac{1}{3} + \dfrac{2}{5} - P(A\cap B)$

From which we can deduce

$P(A\cap B) = \dfrac{1}{3} + \dfrac{2}{5} - \dfrac{3}{5} = \dfrac{2}{15}$

So, the probability of $A \setminus B$ is a bit less than $P(A)$ , we have to take away all events that belong to B as well:

$P(A \setminus B) = P(A) - P(A\cap B) = \dfrac{1}{3} - \dfrac{2}{15} = \dfrac{1}{5}$

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3 years ago

What is the slope of the line through (-2,3) and (1,1)?

son4ous [18]

The slope of the line is -2/3.

This is found by using the equation y2 - y1/x2 - x1. Filling in for each factor, you would have 1-3/1+2 (since subtracting a negative makes it positive). This will give you a final answer of -2/3.

Here is a graph of the full equation of the line.

I hope this helps!

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3 years ago

Ryan made $119 for 7 hours of work.

Korvikt [17]

Answer:

128

Step-by-step explanation:

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3 years ago

Read 2 more answers

Mario made a table with the rules below

Lady_Fox [76]

It will be option A.
x - coordinate is 1. If we multiply 3 with 1, it will be 3. And if we multiply 3 with 3, it will be 9.
y- coordinate is 1. If we add 3 with 1, it will be 4. And adding 3 with 4, we get 7.

Answer:

a- (1,1) (3,4) (9,7)

Hope you could get an idea from here.

Doubt clarification - use comment section.

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3 years ago

2. What percent of rolling a 2 3 probability of getting HH

faust18 [17]

Answer:

2. The correct answer option is 25%.

3. The experimental probability is 3% greater than the theoretical probability.

Step-by-step explanation:

2. We are given that a number cube is rolled 20 times out of which 5 times it lands on the number 2.

We are to find the experimental probability of getting the number 2.

P (2) = $\frac{5}{20} \times 100 =\frac{1}{4} \times 100$ = 25%

3. The theoretical Outcomes are: HH HT TH TT

So theoretical probability of getting HH = $\frac{1}{4} \times 100$ = 25%

Total number of outcomes = $28+22+34+16$ = 100

So experimental probability of getting HH = $\frac{28}{100} \times 100$ = 28%

Therefore, the experimental probability is 3% greater than the theoretical probability.

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3 years ago